What is the derivative of e^{sx} ?

The derivative of e^{sx} is e^{sx}s

What is the first derivative of e^{sx} ?

The first derivative of e^{sx} is e^{sx}s

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\frac{d}{d x} (e^{s x})

e^{s x} s

Solution steps

\frac{d}{d x} (e^{s x})

Apply the chain rule:

e^{s x} \frac{d}{d x} (s x)

= e^{s x} \frac{d}{d x} (s x)

\frac{d}{d x} (s x) = s

= e^{s x} s

\frac{\partial}{\partial x} (e^{3 x} cos (2 y))

\int (x^{2})^{2} d x

\int e^{X} d X

\frac{d y}{d x} y = tan (x^{2} - 4 x)

\frac{\partial}{\partial x} (x^{3} y^{2} - y)

What is the derivative of e^{sx} ?
The derivative of e^{sx} is e^{sx}s
What is the first derivative of e^{sx} ?
The first derivative of e^{sx} is e^{sx}s